Question

A point charge q produces an electric field of magnitude $2N{C}^{-1}$ at a point distance $0.25m$ from it. Find the value of charge.

• A. $13.9\times {10}^{-10}C$
• B. $13.9\times {10}^{-21}C$
• C. $13.9\times {10}^{-11}C$
• D. $13.9\times {10}^{-12}C$

Answer 1

The correct option is D $13.9\times {10}^{-12}C$

electric field,

$E=\frac{1}{4\pi {\epsilon }_o}\frac{q}{r^2}$

given,$E=2N{c}^{-1}r=0.25mso,q=E\times 4\pi {\epsilon }_o\times r^2=2\times \frac{1}{9\times {10}^9}\times {\left(0.25\right)}^{2}q=0.01388\times {10}^{-9}=13.9\times {10}^{-12}C$

so; the correct answer option is d.